Implementation of the Equilateral Triangle in the Multiple Correlation Function Approach as Model Geometry for Restricted Diffusion.

Frederik Bernd Laun¹, Bram Stieltjes

The multiple correlation function approach uses the eigensystem of the Laplace operator to compute the effect of diffusion weighting gradients much more efficiently than Monte-Carlo simulations. However the applicability is limited since the governing matrices could only be computed for few model systems. Here we present the solutions for a further model system, the equilateral triangle. One interesting finding is that the apparent diffusion coefficient for this confining geometry is not dependent on the gradient orientation for moderate b-values, while a clear orientation dependency is observed for high b-values.